MATH 204Analysis I
Completeness and compactness for real line; sequences and infinite series of functions; Fourier series; calculus on Euclidean space and the implicit function theorem; metric spaces and the contracting mapping theorem; the Arzela-Ascoli theorem; basics of general topological spaces; the Baire category theorem; Urysohn's lemma; and Tychonoff's theorem.
Prerequisite(s): MATH 105A and MATH 105B are recommended as preparation.Enrollment is restricted to graduate students.
Find a section and add it to your scheduleLive seat counts, time-conflict checks and the walk from your previous class.
When it runs
Fall 2026Open Fall 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed 11:40am–1:15pm | McHenry Clrm 1270 | T. Ehrhardt | Open 18/20 |
Fall 2025Open Fall 2025
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Tue Thu 9:50am–11:25am | McHenry Clrm 1279 | J. Qing | Open 15/20 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Torsten Ehrhardt | 2.8 / 5 | 3.7 / 5 | 75% | 40 |
| Jie Qing | 3.3 / 5 | 2.9 / 5 | 80% | 16 |
From RateMyProfessors, which is student-submitted and not a survey. Small review counts move a long way on one bad quarter.
SlugAtlas is a student project and is not affiliated with, endorsed by, or operated by UC Santa Cruz. Course data is a snapshot of the public class search; myUCSC is authoritative for enrolment.